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4314431121 = 3711131579151
BaseRepresentation
bin1000000010010100…
…01111111010010001
3102010200100210212020
410001022033322101
532313443243441
61552041122053
7211626026250
oct40112177221
912120323766
104314431121
111914424a60
12a04a89329
13539b02c30
142cd002797
151a3b84e66
hex10128fe91

4314431121 has 64 divisors (see below), whose sum is σ = 7773782016. Its totient is φ = 2055456000.

The previous prime is 4314431113. The next prime is 4314431141. The reversal of 4314431121 is 1211344134.

It is not a de Polignac number, because 4314431121 - 23 = 4314431113 is a prime.

It is a super-2 number, since 2×43144311212 = 37228631795706633282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4314431091 and 4314431100.

It is not an unprimeable number, because it can be changed into a prime (4314431141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466896 + ... + 476046.

It is an arithmetic number, because the mean of its divisors is an integer number (121465344).

Almost surely, 24314431121 is an apocalyptic number.

It is an amenable number.

4314431121 is a deficient number, since it is larger than the sum of its proper divisors (3459350895).

4314431121 is a wasteful number, since it uses less digits than its factorization.

4314431121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342.

The product of its digits is 1152, while the sum is 24.

The square root of 4314431121 is about 65684.3293411754. The cubic root of 4314431121 is about 1627.9504420246.

Adding to 4314431121 its reverse (1211344134), we get a palindrome (5525775255).

The spelling of 4314431121 in words is "four billion, three hundred fourteen million, four hundred thirty-one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 157 231 273 429 471 1001 1099 1727 2041 3003 3297 5181 6123 9151 12089 14287 22451 27453 36267 42861 64057 67353 100661 118963 157157 192171 301983 356889 471471 704627 832741 1308593 1436707 2113881 2498223 3925779 4310121 9160151 10056949 15803777 18677191 27480453 30170847 47411331 56031573 110626439 130740337 205449101 331879317 392221011 616347303 1438143707 4314431121